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**hartnotes
(./hartnotes.tex
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\OT1/cmr/m/it/12 Example \OT1/cmr/m/n/12 3.1\OT1/cmr/m/it/12 . \OT1/cmr/m/n/12 
Arith-metic Genus Let $\OML/cmm/m/it/12 X$ \OT1/cmr/m/n/12 be a non-sin-gu-lar 
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[]\OT1/cmr/bx/n/17.28 Long Ex-act Se-quence of Co-ho-mol-ogy and Other Won-
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\OT1/cmr/bx/n/12 Definition 21.1. \OT1/cmr/m/n/12 The $[]$ func-tors $[][](\OMS
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sy/m/n/12 ^^O\OT1/cmr/m/n/12 )$
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[] 
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\OT1/cmr/bx/n/12 Proposition 21.6. \OT1/cmr/m/it/12 Sup-pose $\OMS/cmsy/m/n/12 
E$ \OT1/cmr/m/it/12 is a lo-cally free $\OMS/cmsy/m/n/12 O[]$\OT1/cmr/m/it/12 -
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[]
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[]\OT1/cmr/m/n/12 At Har-vard, Hartshorne was the scribe [Lec-ture Notes in Mat
h Vol ???] for Grothendieck's
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\OT1/cmr/m/n/12 [[Do we ob-tain $\OML/cmm/m/it/12 H[]$ \OT1/cmr/m/n/12 in-stead
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\OT1/cmr/m/n/12 The first three groups of global sec-tions are $0$. Since $\OML
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